Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 807/84,385/64,707/718
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 807,385,707
Greatest Common Factor of Numerators i.e. GCF of 807,385,707 is 1 .
LCM of Denominators means LCM of 84,64,718 as per the given fractions.
LCM of 84,64,718 is 482496 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 807,385,707
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Greatest Common Factor
We found the factors 807,385,707 . The biggest common factor number is the GCF number.
So the greatest common factor 807,385,707 is 1.
Lets's calculate LCM of 84,64,718
2 | 84, 64, 718 |
2 | 42, 32, 359 |
21, 16, 359 |
∴ So the LCM of the given numbers is 2 x 2 x 21 x 16 x 359 = 482496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/482496
Therefore, the GCF of Fractions 807/84,385/64,707/718 is 1/482496
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 84,64,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,64,718) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(84,64,718) x common factors =2 x 4 = 8
LCM(84,64,718) = ( 84 × 64 × 718 ) / 8
LCM(84,64,718) = 3859968 / 8
LCM(84,64,718) = 482496
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 807/84, 385/64, 707/718?
Answer: GCF of Numerators as per given numbers 807/84, 385/64, 707/718 is
GCF of Numerators i.e. for 807,385,707 is 1
LCM of denominators i.e. for 84,64,718 is 482496.
Thus, GCF of Fractions is 1/482496.Finally, GCF of Fractions for 807/84, 385/64, 707/718 is 1/482496.